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Answer :
68% of the population will have a height within the range of 69 inches to 75 inches. None of the provided options match this range.
Calculating Range using Mean and Standard Deviation
In a normal distribution, approximately 68% of the values fall within one standard deviation of the mean.
Given:
mean height = 72 inches
standard deviation = 3 inches,
We can determine the range within which 68% of the population's heights will fall.
To calculate this range, we subtract and add one standard deviation from the mean:
Lower bound: Mean - Standard Deviation
= 72 - 3
= 69 inches
Upper bound: Mean + Standard Deviation
= 72 + 3
= 75 inches
Therefore, 68% of the population will have a height within the range of 69 inches to 75 inches.
Learn more about standard deviation here:
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